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Finding the Fourth Proportional to 238,465,734.60, 357,698,601.90 and 208,232,646.60

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Solution

The fourth proportional to 238,465,734.60, 357,698,601.90 and 208,232,646.60 is: 312,348,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,465,734.60 : 357,698,601.90 = 208,232,646.60 : x
  2. Step 2: Convert to fraction form
    238,465,734.60/357,698,601.90 = 208,232,646.60/x
  3. Step 3: Cross multiply
    238,465,734.60x = 357,698,601.90 × 208,232,646.60
  4. Step 4: Simplify right side
    238,465,734.60x = 74,484,526,558,756,784
  5. Step 5: Solve for x
    x = 74,484,526,558,756,784/238,465,734.60
  6. Step 6: Final answer
    x = 312,348,969.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.